Answer:
The measure of the angles are 55° and 35°
Step-by-step explanation:
Sum of two angles that are complement of each other are 90.
The angles are A and B, so we can write:
A + B = 90
Also,
The difference is 20. Let A be the greater of them, so we can write equation 2 as:
A - B = 20
Now, we add up both equations, eliminate B and solve for A first:
A + B = 90
A - B = 20
---------------
2A = 90 + 20
2A = 110
A = 110/2
A = 55
And now the measure of B:
A + B = 90
55 + B = 90
B = 90 - 55
B = 35
The figure shows two intersecting chord, thus this simply can be solved using the Intersecting Chord Theorem, which states that "<span>When two chords intersect each other inside a circle, the products of their segments are equal."
Thus,
(15mx2m=5mxn)
n=6m</span>
Answer:
(4, -25)
Step-by-step explanation:
One thing I wanted to say is thank you for including the equation to find the vertex! I literally had a brain fart and was like wait it is -b over 2a, then I looked and high fived myself lol but anyways. But anyways the question is what is the vertex of x²-8x-9??
First let's label this formula. The quadratic formula has three variables to label and it labels them as a,b, and c.
a= x² b= -8 c=-9 ( and yes the negative and positive sign makes a difference, trust me. :D )
So again what is the vertex equation? It is -b over 2a. So let's look at our functiion and plug in the numbers.
b= -8 => -b= -(-8) = +8
a= 1 => 2a= 2(1) = 2
So -b/2a equals a positive 8 divided by 2. 8 divided by two equals.. 4.
Yet what would be outcome of this equation. How about we input 4 into the equation we have.
f(x)= x²-8x-9
f(4)= (4)²-8(4)-9
f(4)= 16-(32)-9
f(4)= -16-9
f(4)= -25
So in this case (4, -25) is the vertex of this equation!!
Sorry for typing so much, I know it may be alot, but it's the answer. Yet, I really do hope I gave you a very clear answer. If you have any questions or comment, don't be afraid to say ask or even message me. If you have to. But anyways I hoped I help, have a great day!! :D
Answer:
660 in^2
Step-by-step explanation:
The formula to calculate area of trapezoid : (a+b)/2*h (a: base, b: base, h: height)
(30+36)/2*20 = 660 in^2
